A classification problem on mapping classes on fiber spaces over Teichmüller spaces

zbMath1422.30069MaRDI QIDQ2002594

Chaohui Zhang, Ying Qing Xiao

Publication date: 12 July 2019

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1554278420

zbMATH Keywords

Teichmüller spacemapping class groupRiemann surfacehyperbolic metric

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Teichmüller theory for Riemann surfaces (30F60)

Cites Work

• Pseudo-Anosov maps and fixed points of boundary homeomorphisms compatible with a Fuchsian group
• On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
• An extremal problem for quasiconformal mappings and a theorem by Thurston
• On boundaries of Teichmüller spaces and on Kleinian groups. I
• Fiber spaces over Teichmüller spaces
• SINGULARITIES OF QUADRATIC DIFFERENTIALS AND EXTREMAL TEICHMÜLLER MAPPINGS DEFINED BY DEHN TWISTS
• On the geometry and dynamics of diffeomorphisms of surfaces
• Non-Geodesic Discs Embedded in Teichmuller Spaces
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